Does scale of camera have an effect on camera tracking a scene?
The scale of the camera is irrelevant. The scale of the scene is not.
The scale for the 3d reconstruction of the scene based on tracking information is arbitrary.
If you happen to know what the distance is in the real world between two  of the elements being tracked, you can use that to inform blender to scale the tracked scene based on that distance. Select the trackers and set and apply the scale.

Read: Camera tracking reference scene to match different shots in a common space
But even if you don't set the scale when you solve the scene, you can scale and reposition all empties and camera with ease. If you move any of the elements of the tracking constraint, all of the elements will move as they all depend on the camera. It is here that you can scale the camera to make the reconstruction be the scale you want.

For a comprehensive post on motion tracking read:
How can I get better results when doing camera motion tracking?